What is the integral of cos^2(x)+sin^2(x) ?

The integral of cos^2(x)+sin^2(x) is x+C

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integral of cos^2(x)+sin^2(x)

\int cos^{2} (x) + sin^{2} (x) d x

x + C

Solution steps

\int cos^{2} (x) + sin^{2} (x) d x

Rewrite using trig identities

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

2 y^{^{'}} + \frac{1}{x} y = x^{2} y^{- 1}

\frac{1 - cos ( 2 ( 3 t ) )}{2}

x \to 0 lim (\frac{( 2 ^{x} - 7 ^{x} )}{x})

\frac{1}{s ( s ^{2} + 2 s + 5 )}

\frac{1}{y ^{2}} - \frac{3}{y ^{4}}

What is the integral of cos^2(x)+sin^2(x) ?
The integral of cos^2(x)+sin^2(x) is x+C